Explanation Charles’s law states that the volume for a given number of moles of a gas is directly proportional to its absolute temperature (in kelvin) if the pressure is held constant V α T ( V is the volume and T is the temperature of the gas) V T = constant V 1 T 1 = V 2 T 2 V 1 and V 2 are the initial and final volume of the gas T 1 and T 2 are the initial and final temperatures of the gas in kelvin. Or at constant pressure and constant amount, the ratio of volume and temperature of gas is always constant Given: Initial volume of the gas is 4.00 L and the initial temperature is 0 ° C Pressure and number of moles are constant Formula used: V 1 T 1 = V 2 T 2 ( 1 ) For conversion of temperature in ° C to kelvin ( K ), we use the formula: 0 ° C = 273.15 K K = ° C + 273.15 ( 2 ) 1 L = 1000 m l Calculations V 1 = 4.00 L V 2 = 1.50 L T 1 = 0 ° C T 2 = ? Convert ° C to kelvin ( K ) using formula ( 2 ) 0 ° C = 273.15 K T 1 = 273.15 K Substitute the values of V 1 , V 2 and T 2 in formula ( 1 ) : 4.00 273.15 = 1.50 T 2 Cross multiplying T 2 = 1.50 * 273.15 4.00 T 2 = 102.43 K Convert temperature in kelvin to ° C using formula ( 2 ) T 2 = 102.43 − 273.15 = − 170.71 ° C V 1 = 4 L V 2 = 1200 m L T 1 = 0 ° C T 2 = ? Convert ° C to kelvin ( K ) using formula ( 2 ) 0 ° C = 273.15 K T 1 = 273.15 K Convert volume from m L into L 1000 m L = 1 L 1250 m l = 1200 1000 = 1.20 L = V 2 Substitute the values of V 1 , V 2 and T 2 in formula (1): 4

Mastering Chemistry with Pearson eText -- Standalone Access Card -- for Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)

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ISBN: 9780134553269

Author: Timberlake

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Chapter 8.3, Problem 8.28PP

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Temperature in degree Celsius

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Mastering Chemistry with Pearson eText -- Standalone Access Card -- for Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)

Ch. 8.1 - Prob. 8.1PP Ch. 8.1 - Use the kinetic molecular theory of gases to...Ch. 8.1 - Identify the property of a gas that is measured in...Ch. 8.1 - Identify the property of a gas that is measured in...Ch. 8.1 - Prob. 8.5PP Ch. 8.1 - Prob. 8.6PP Ch. 8.1 - Prob. 8.7PP Ch. 8.1 - On a climb up Mount Whitney, the atmospheric...Ch. 8.2 - Why do scuba divers need to exhale air when they...Ch. 8.2 - Why does a sealed bag of chips expand when you...

Ch. 8.2 - The air in a cylinder with a piston has a volume...Ch. 8.2 - A balloon is filled with helium gas. When each of...Ch. 8.2 - Prob. 8.13PP Ch. 8.2 - Prob. 8.14PP Ch. 8.2 - A 10.0-L balloon contains helium gas at a pressure...Ch. 8.2 - Prob. 8.16PP Ch. 8.2 - A sample of nitrogen N2 has a volume of 50.0 L at...Ch. 8.2 - A sample of methane CH4 has a volume of 25 mL at a...Ch. 8.2 - A sample of Ar gas has a volume of 5.40 L with an...Ch. 8.2 - A sample of Ne gas has a pressure of 654 mmHg with...Ch. 8.2 - Prob. 8.21PP Ch. 8.2 - A patient’s oxygen tank holds 20.0 L of oxygen O2...Ch. 8.2 - Prob. 8.23PP Ch. 8.2 - Prob. 8.24PP Ch. 8.3 - Select the diagram that shows the final volume of...Ch. 8.3 - Indicate whether the final volume of gas in each...Ch. 8.3 - A sample of neon initially has a volume of 2.50 L...Ch. 8.3 - Prob. 8.28PP Ch. 8.3 - A balloon contains 2500 ml- of helium gas at 75C ....Ch. 8.3 - Prob. 8.30PP Ch. 8.3 - A gas sample has a volume of 0.256 L with an...Ch. 8.3 - Prob. 8.32PP Ch. 8.4 - Prob. 8.33PP Ch. 8.4 - Prob. 8.34PP Ch. 8.4 - Calculate the final temperature, in degrees...Ch. 8.4 - Calculate the final temperature, in degrees...Ch. 8.4 - A gas sample has a pressure of 744 mmHg when the...Ch. 8.4 - Prob. 8.38PP Ch. 8.4 - A tank contains isoflurane, an inhaled anesthetic,...Ch. 8.4 - Bacteria and viruses are inactivated by...Ch. 8.5 - Prob. 8.41PP Ch. 8.5 - Prob. 8.42PP Ch. 8.5 - Prob. 8.43PP Ch. 8.5 - A sample of argon gas has a volume of 735 mL at a...Ch. 8.5 - A 124-mL bubble of hot gas initially at 212 °C and...Ch. 8.5 - A scuba diver 60 ft below the ocean surface...Ch. 8.6 - What happens to the volume of a bicycle tire or a...Ch. 8.6 - Prob. 8.48PP Ch. 8.6 - Prob. 8.49PP Ch. 8.6 - Prob. 8.50PP Ch. 8.6 - Prob. 8.51PP Ch. 8.6 - Prob. 8.52PP Ch. 8.7 - A typical air sample in the lungs contains oxygen...Ch. 8.7 - Prob. 8.54PP Ch. 8.7 - Prob. 8.55PP Ch. 8.7 - In a gas mixture, the partial pressures are argon...Ch. 8.7 - A gas mixture containing oxygen, nitrogen, and...Ch. 8.7 - A gas mixture containing oxygen, nitrogen, and...Ch. 8.7 - Prob. 8.59PP Ch. 8.7 - Prob. 8.60PP Ch. 8.7 - Prob. 8.61PP Ch. 8.7 - Prob. 8.62PP Ch. 8 - Two flasks of equal volume and at the same...Ch. 8 - Prob. 8.64UTC Ch. 8 - At 100 °C, which of the following diagrams (1, 2,...Ch. 8 - Indicate which diagram (1, 2, or 3) represents the...Ch. 8 - A balloon is filled with helium gas with a partial...Ch. 8 - Prob. 8.68UTC Ch. 8 - Prob. 8.69UTC Ch. 8 - Prob. 8.70UTC Ch. 8 - Prob. 8.71APP Ch. 8 - Prob. 8.72APP Ch. 8 - Prob. 8.73APP Ch. 8 - Prob. 8.74APP Ch. 8 - A weather balloon has a volume of 750 L when...Ch. 8 - Prob. 8.76APP Ch. 8 - A weather balloon is partially filled with Helium...Ch. 8 - Prob. 8.78APP Ch. 8 - A gas mixture contains Oxygen and Argon at partial...Ch. 8 - Prob. 8.80APP Ch. 8 - Prob. 8.81CP Ch. 8 - You are doing research on planet X. The...Ch. 8 - Prob. 8.83CP Ch. 8 - Prob. 8.84CP

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