a sample of carbon dioxide gas at a pressure of 0.955 atm and at a temperature o

Question

a sample of carbon dioxide gas at a pressure of 0.955 atm and at a temperature of 130 degrees C, occupies a volume of 853 mL. if the gas is cooled at constant pressure until it’s volume is 583 mL, the temperature of the gas sample will be ____degrees C a sample of carbon dioxide gas at a pressure of 0.955 atm and at a temperature of 130 degrees C, occupies a volume of 853 mL. if the gas is cooled at constant pressure until it’s volume is 583 mL, the temperature of the gas sample will be ____degrees C a sample of carbon dioxide gas at a pressure of 0.955 atm and at a temperature of 130 degrees C, occupies a volume of 853 mL. if the gas is cooled at constant pressure until it’s volume is 583 mL, the temperature of the gas sample will be ____degrees C

Explanation / Answer

According to ideal gas equation,

pV = nRT where p = pressure in atm

V = Volume in litres

n = no. of moles

R = Universal gas constant

T = Temperature in Kelvin

R = constant = pV/nT = pV/T (if n = 1 mole)

from this we can write,

p1V1/T1 = p2V2/T2

Given, p1 = 0.955 atm

V1 = 853 mL = 0.853 mL (1 L = 1000 mL)

T1 = 130o C = (130 + 273.15) K = 403.15 K (T in oC + 273.15 = T in K)

p2 = p1 = 0.955 atm

V2 = 583 mL = 0.583 L

T2 = (p2V2)T1 / p1V1 = ( 0.955 x 0.583 x 403.15 ) / ( 0.955 x 0.853 )

= 275.54 K

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