A sample of carbon dioxide gas at a pressure of 0.990 atm and a temperature of 271 oC, occupies a volume of 548 mL. If the gas iscooled at constant pressure until its volume is 465 mL, the temperature of the gas sample will be°C.Submit AnswerRetry Entire Group9 more group attempts remaining

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Asked Nov 15, 2019
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A sample of carbon dioxide gas at a pressure of 0.990 atm and a temperature of 271 oC, occupies a volume of 548 mL. If the gas is
cooled at constant pressure until its volume is 465 mL, the temperature of the gas sample will be
°C.
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Retry Entire Group
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A sample of carbon dioxide gas at a pressure of 0.990 atm and a temperature of 271 oC, occupies a volume of 548 mL. If the gas is cooled at constant pressure until its volume is 465 mL, the temperature of the gas sample will be °C. Submit Answer Retry Entire Group 9 more group attempts remaining

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Expert Answer

Step 1

According to the Charles law, the volume of an ideal gas at a constant pressure will be directly proportional to the absolute temperature of the system. Mathematically, it can be shown as follows:

V V
Т, т,
1
V is the initial volume occupied by the ideal gas
V is the final volume occupied by the ideal gas
T, is the initial tempertaure of the system
T is the final tempertaure of the system
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V V Т, т, 1 V is the initial volume occupied by the ideal gas V is the final volume occupied by the ideal gas T, is the initial tempertaure of the system T is the final tempertaure of the system

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Step 2

In the given problem, the initial volume occupied by the carbon dioxide gas is given to be 548 mL.

The initial temperature of the gas is given to be 271...

V V
т, т,
548 mL_465 mL
т,
271°C
465 mLx271°C
Т-
548 mL
=230°C
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V V т, т, 548 mL_465 mL т, 271°C 465 mLx271°C Т- 548 mL =230°C

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