Question

A given sample of gas has a volume of 5.20 L at 60.°C and 1.00 atm pressure. Calculate its pressure if the volume is changed to 6.00 L and the temperature to 27°C (assume the amount of gas does not change)

Answer 1

0.78 atm

Step-by-step explanation:

Applying general gas equation

PV/T= P'V'/T'................ Equation 1

Where P = initial pressure, T = Initial temperature, V = Initial Volume, P' = Final pressure, V' = Final Volume, T' = Final Temperature.

make P' the subject of the equation

P' = PVT'/TV'.............. Equation 2

From the question,

Given: P = 1.00 atm, V = 5.20 L, T = 60°C = (273+60) = 333K, V' = 6.00 L, T' = 27°C = (27+273)K = 300 K

Substitute these values into equation 2

P' = (1×5.2×300)/(333×6)

P' = 1560/1998

P' = 0.78 atm.