A certain type of glass is such that a slab 1" thick absorbs one-quarter of the light which starts to pass through it. How thin must a pane of be made to absorb only 1% of the light?

Q: A certain drug can be traced in the bloodstream for a short amount of time. Given that there is 300g…

A: Initial Amount of drug present in blood stream = 300g  Concentration of drug depletes per minute =…

Q: A certain amount is invested at 9% annual simple interest, and after 11 years, its investment is…

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Q: The half-life of the plutonium isotope is 24,360 years. If 10 g of plutonium is released into the…

A: It is given that the half-life of the plutonium isotope is 24,360 years. Use formula, an exponential…

Q: A certain drug can be traced in the bloodstream for a short amount of time. Given that there is 500g…

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Q: An element with mass 730 grams decays by 27.6% per minute. How much of the element is remaining…

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Q: An element with mass 730 grams decays by 28.8% per minute. How much of the element is remaining…

A: There is an exponential decay with rate of 28.8%.

Q: If the work required to stretch a spring 5 feet beyond its natural length is 15 foot-pounds, how…

A: first, we need to find the spring constant  W=∫0a fxdx here we have W=15 and a=5 feet 15=∫05 fxdx…

Q: The half-life of radium is 1690 years. If 10 grams is present now, how much will be present in 100…

A: Half life of radium is 1690 years Present mass = 10 grams Mass at 100 years from now is to be…

Q: Suppose your dorm room is 11 ft wide by 12 ft long by 8.5 ft high and has an air conditioner that…

A: Consider a room of length l, breadth b and height h. The volume of the room is calculated as,…

Q: If 14 g of a radioactive substance are present initially and 3 yr later only 7 g remain, how much of…

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Q: A force is applied to a particle, which moves in a straight line, in such a way that after each…

A: A geometric series is convergent if common ratio is less than 1. Sum of infinite geometric series is…

Q: Consider an object in a surrounding with constant temperature of 25°C. If the temperature of the…

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Q: An element with mass 970 grams decays by 27.7% per minute. How much of the element is remaining…

A: Given that, The mass of the element is 970 grams, which decays by 27.7% per minute. To find: How…

Q: A hospital prepares a 200 mg supply of molybdenum-99 which has a half-life of 66 hours. How much…

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Q: In order to compare amounts of two different substances, it is necessary to figure out the amount of…

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Q: A room in a certain factory wanted to improve the CO₂ concentration level which is a high 2500ppm.…

A: The air inside has 2500 ppm of CO2 and volume of 5000 cu.m  Fresh Air has 400 ppm of CO2    Now, let…

Q: Element X is a radioactive isotope such that every 7o years, its mass decreases by half. Given that…

A: Solution : Given that element X is a radioactive isotope such that every 70 years, its mass…

Q: Suppose you are a pharmacist and a customer asks you thefollowing question. His child is to receive…

A: Given: Total nausea medicine received by child=13.5 mlTotal time period=54 hours To Find: The amount…

Q: The half life of a certain isotope is 6.13 hours. If we have a sample of 5.0 ounces of that isotope,…

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Q: The half life of a certain isotope is 8.5 hours. If we have a sample of 10 ounces of that isotope,…

A: Consider the following information: Half life periodt12=8.5 hours Decay constantλ=ln2t12=ln28.5…

Q: IF 8G OF RADIOACTIVE SUBSTANCE ARE PRESENT INITIALLY AND 4 YR LATER ONLY 4G REMAIN HOW MUCH OF THE…

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Q: A 50-mg sample of a radioactive substance decays to34 mg after 30 days. How long will it take for…

A: Given: A 50 - mg sample of a radioactive substance decays to 34 mg after 30 days. To find: The time…

Q: The half-life of the plutonium isotope is 24,360 years. If 10 g of plutonium is released into the…

A: Half life of the plutonium isotope is 24,360 years. If 10g of plutonium is released into the…

Q: if a 0.192 g sample of copper metal reacts with elemental sulfur to form 0.240 g of the sulfide…

A: Moles Cu = (0.192 g) / (63.546 g/mol) = 0.00302 Mass of S = 0.240 - 0.192 = 0.0480 g Moles S =…

Q: if 8 g of a radioactive substance are present initially and 4 yr later only 4 g remain, how much of…

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Q: An isotope has a half-life of 98 years. How much of a 16-gram sample is left after 150 years?

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Q: If 25% of a radioactive substance disappeared in 10 years, how long did it take for 60% of the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The half-life of radium is 1690 years. If 10 grams is present now, how much will be present in 50…

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Q: If 12g of a radioactive substance are present initially and 9yr later only 6g​ remain, how much of…

A: As half the amount of the radioactive substance left after 9 years, thus it is clear that half-life…

Q: If a patient has an order of 400 mg IV q8h and the drug has a half life of 8 hours, what is the…

A: The half-life decay is given by the formula,

Q: An element with mass 490 grams decays by 28.6% per minute. How much of the element is remaining…

A: There is a decay of element at the rate of 28.6% per minute. Initially the mass of element given is…

Q: A limestone stalactite grew in length at a rate of – of a millimeter per year. At this rate, how…

A: Given the limestone is growing at a rate of 18mm per year i.e. 0.125 mm every year

Q: Find how much more energy was released by an earthquake of magnitude 6.9 than by an earthquake of…

A: Solution: use formula Log E = 11.8+1.45M

Q: If18 g of a radioactive substance are present initially and 4yr later only 9g​remain, how much of…

A:

Q: An

A: Given,element with mass = 510 gramsdecay rate = 26.3% per minuteour aim is to find how much of the…

Q: If the first swing of this pendulum travels for 42 cm and its successive swing decreases by 20%,…

A: The distance travelled by the pendulum in the first swing is d1=42 cm. The distance travelled in the…

Q: An element with mass 640 grams decays by 7:3% per minute. How much of the element is remaining after…

A: Given intial mass =640 gmsRate of decay=7.3% per miniutetime =8 minute

Q: An element with mass 310 grams decays by 8.9% per minute. How much of the element is remaining after…

A: Given   mass = 310 gm  Rate = 8.9 %  Time = 19 min

Q: A radioactive substance has a half-life of 25 years. If 640 grams of the substance are present…

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Q: If 12 g of a radioactive substance are present initially and 8 yr later only 6 g​ remain, how much…

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Q: An element with mass 490 grams decays 28.6% per minute. How much of the element is remaining after…

A:

Q: If 16 g of a radioactive substance are present initially and 9 yr later only 8 g​ remain, how much…

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Q: An element with mass 430 grams decays by 27.4% per minute. How much of the element is remaining…

A: We need to find the exponential function representing the decay of the element.

Q: . A small metal bar, whose initial temperature was 20° C, is dropped into a large container of…

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Q: If 16 g of a radioactive substance are present initially and 5 yr later only 8 g​ remain, how much…

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Q: If you leave a 100-W light bulb on for a week, how many joules of energy will be consumed?

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Q: A radioactive isotope, selenium, used in the creation of medic has a half-life of 119.77 days. If…

A: In order to calculate the mass of selenium after 20 days, we need to use the formula of radio active…

Q: If 12 g of a radioactive substance are present initially and a 4 yr later only 6g remain, how much…

A: Given Total radioactive substance present   After four year only 6g remain

Q: A certain radioactive substance has a half-life of 38 hour. Find how long (in hours) it takes for…

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