A liquid has an enthalpy of vaporization of 30.8 kJ/mol. At 275 K it has a vapor pressure of 117 mmHg. What is the normal boiling point of this liquid?  (R = 8.31 J/(K· mol))

Q: A spherical snowball melts at a rate of 36π^2in³/sec. At what rate is the radius of the snowball…

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Q: The side of a cube increases at the rate of 11 m/sec. Find the rate at which the volume of the cube…

A: givenside of cube(a)=5mdadt=11m/secVolume of cube (v)=a3differentiating with respect to…

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Q: 1. The side of a cube increases at the rate of 23 m/sec. Find the rate at which the volume of the…

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Q: The side of a cube is increasing at a rate of 5cm/sec, find the related change in surface area wher…

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Q: The radius of a sphere increases at a rate of 4m/sec. Find the rate at which the surface area…

A: Rate at which surface area increases is

Q: A sample of gas is heated with 15.4 kJ of energy while simultaneously expanding to 28.3 L from 2.3 L…

A: We know formula for work done -  w = -p∆v

Q: Suppose a ship's fuel tank has a layer of oil 1.9 m thick and density 631 kg/m3 floating atop a…

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Q: A gas in a container has an initial volume of 7L and an unknown temperature. The final temperature…

A: Given,Initial volume of a gas container, V1 = 7LFinal volume of a gas container, V2 = 12LFinal…

Q: Fireworks are fired up from a platform 3 ft. above the ground with an initial velocity of 125 ft/s.…

A: Given that: Fireworks are fired up from a platform 3 ft. above the ground with an initial velocity…

Q: The volume of an ice cube is decreasing at a rate of 1.5 cm³/sec. At what rate is a side of the ice…

A: option A is correct detailed solution with explanations given below

Q: The surface area of a sphere increases at a rate of 90 m/sec. Then the rate at which the radius…

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Q: Helium in a 2.5 L flask at 28 °C exerts a pressure of 325 mm Hg. How many moles of helium are in the…

A: Given that helium in a 2.5L flask at 28degree exerts a pressure of 325 mm hg. We need to calculate…

Q: A ficticious strong base M(OH)2, has a concentration of 0.50 x 10 -3 M. What is its pH at 25 °C?

A: Please refer the attached image for complete solution.

Q: side

A: Please refer to the image below

Q: On Venus the surface temperature is hot enough to make lead molten. With a melting noint of 600.6 K.…

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Q: An automobile accelerates from rest at a(t) = 1+3vt mph per second for 9 seconds. What is its…

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Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

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Q: The radius of a star(spherical) was r=a and was observed to increase by 0.01%. Use a linear…

A: Given data is : Radius(r) of a star (spherical) is increase by 0.01% To find the percentage of…

Q: The volume of a cube decreases at a rate of 12.1 m/sec. Find the rate at which the side of the cube…

A: we have to find the rate change of a side of cube

Q: 1. We are inflating a spherical balloon. At what rate is the volume of the balloon changing when the…

A: Since you have asked multiple question (1&2) we will solve the first question for you. . If you…

Q: At noon, a city park manager starts filling a swimming pool. IfV(t) is the volume of water (in ft3)…

A: Given that a city park manager is filling his swimming pool. Volume of the swimming pool is V=43πr3.…

Q: The volume of a cube increases at a constant rate of 135 ft°/ sec. The rate at which the side of the…

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Q: A ballon is filled with 3.8 L of helium gas at STP. Approximately how many moles of helium are…

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Q: continuous IV is infusing at 40 mL/h.  How many milliliters will infuse in 30 minutes?

A: 1 hour is equal to 60 minutes.

Q: During a certain 12-hour period the temperature at time t (measured in hours from the start of the…

A: Disclaimer: Since you have asked multiple questions; we will solve the first question for you. If…

Q: The radius of a sphere increases at the rate of 7 m/sec. Find the rate at which the volume of a…

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Q: The radius of a sphere increases at a rate of 6m/sec, then the rate at which the volume increases…

A: Let's find.

Q: a spherical balloon is filled with gas at a rate of 300 mm3/sec. Find the rate at which the surface…

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Q: The radius of a right circular cylinder is increasing at the rate of 8 in/sec while the height is…

A: Given- drdt=8 in/sec and dhdt=-3 in/sec To Find- The rate of the volume changing when r= 7 in and…

Q: 1. The side of a cube increases at the rate of 12 m/sec. Find the rate at which the volume of the…

A: Our guidelines for multiple questions,answer only first question For other answers , Repost this…

Q: A 50 – gal tank initially contains 10 gal of fresh water. At t = 0, a brine solution containing 1 lb…

A: Remaining capacity of tank is 50-10 = 40 gallons.

Q: At a constant pressure, what temperature must be reached to increase the volume of a 100mL samples…

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Q: 15. Water is being poured at the rate of 150 cm³/s into an inverted cone with a diameter of 3 meters…

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Q: 2. The volume of a cube decreases at a rate of 10m/sec. Find the rate at which the side of the cube…

A: dVdt=10m3/min, side=2mFormula of volumeV= side3

Q: A tank initially holds 10 gal of fresh water. At t = 0, a brine solution containing ¼pounds of salt…

A: Given that , Initially fresh water in tank = 10 gal At t=0 , the solution containing 14 pounds of…

Q: The radius of a sphere increases at a rate of 1 m/sec. Find the rate at which the volume increases…

A: Rate of change of radius drdt=1 m/sec. When the radius is 20 m, we have to find the rate at which…

Q: The radius of a sphere decreases at a rate of 4 m/s. when the radius is 7 m, then the rate at which…

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Q: The radius of a sphere decreases at a rate of 5 m/s. when the radius is 7 m, then the rate at which…

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Q: 1. The volume of a cube decreases at a rate of 12 m/sec. Find the rate at which the side of the cube…

A: This question is related to application of derivatives.

Q: Suppose a snowball remains spherical while it melts, with the radius r shrinking at 3 inch(es) per…

A: Given: The radius of the spherical snowball is shrinking 3 inches in a hour.To find the numerical…

Q: A tank initially holds 80 gal of a brine solution containing of salt per gallon. At t=0, another…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.