The volume V of a given mass of a gas varies directly as the temperature T and inversely as the pressure P.? If V=200 cm^3, T=40 degree and P=10 kg/cm^2, how do you find the volume when T=30 degree, P=5kg/cm^2?

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Answer 1 · 2017-07-14T12:00:07

The volume of gas is # 300 cm^3 #

# V prop T , V prop 1/P #. Jointly #V prop T/P or V = k * T/P#, k is

proporionality constant. # V=200 , T= 40 , P=10 #

# V = k * T/P or k = (PV)/T= (10*200)/40=50 or k =50#

# T=30 , P=5 , V= ?#

The #P,V,T# equation is # V = k * T/P or V = 50 * 30/5 =300 cm^3 #

The volume of gas is # 300 cm^3 # [Ans]