31. Assume that you have a cylinder with a movable piston. What would happen to

ID: 906586 • Letter: 3

Question

31. Assume that you have a cylinder with a movable piston. What would happen to the gas pressure inside the cylinder if you do the following?

(a) Decrease the volume to one third the original volume while holding the temperature constant.

-- increase the pressure by 3 times

-- double the pressure

-- decrease the pressure by 1/3

-- remain the same

(b) Reduce the Kelvin temperature to half its original value while holding the volume constant.

-- increase by 2 times

-- increase by 4 times

-- decrease by two times

-- decrease by four times

-- remain the same

-- increase by 2 times

-- decrease by 2 times

-- decrease by 4 times

-- remain the same

If the pressure, volume and temperature of a gas be changed from P1, V1 and T1 to P2, V2 and T2 then

P1V1 / T1 = P2V2 / T2

31.a)

V1 = V and V2 = V/3 and T is constant

then P1 V / T = P2 V / 3T

P2 = 3P1, So by decresing volume by three times the original value by keeping temperature constant, pressure will increase by 3 times.

31.b)

T1 = T and T2 = T/2 and V constant

P1 V / T = P2 V / (T/2)

P2 = P1 / 2

Reducing the Kelvin temperature to half its original value while holding the volume constant decreases pressure by 2times.

31.c)if the amount of gas is also variable then the above equation will become

P1V1/n1T1 = P2V2 / n2T2

Where n1 = amount of gas in moles

n1= n and n2 = n/2 and Volume and Temperature constant

P1V / n T = P2V / (n/2)T

P2 = P1 / 2

Reduce the amount of gas to half while keeping the volume and temperature constant decreases pressure by two times.

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