Answered

A mass of gas under constant pressure occupies a volume of 0.5 m3 at a temperature of 20°C. Using the formula for cubic expansion, what will be the volume at a temperature of 45°C without a change in pressure?

A0.0228938 m3
B0.0457875 m3
C0.5228938 m3
D0.5457875 m3

Verified Answer :

taskmasters

To solve this we assume
that the gas inside the balloon is an ideal gas. Then, we can use the ideal gas
equation which is expressed as PV = nRT. At a constant pressure and number of
moles of the gas the ratio T/V is equal to some constant. At another set of
condition of temperature, the constant is still the same. Calculations are as
follows:

T1 / V1 = T2 / V2

V2 = T2 x V1 / T1

V2 = 318.15 x 0.5 / 293.15

V2 =  0.5457875 m³

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