Question #109064

A gas sample occupies 15.44L at 42.0°C. What is the pressure in kilopascals, given that there are 6.73mol of a gas in the sample?

Expert's answer

Use Ideal Gas Law

PV=nRTPV=nRT

V=15.44dm3(1m31000dm3)=15.44×10−3m3V= 15.44 dm^3(\frac{1 m^3}{1000 dm3})= 15.44\times 10^{-3}m^3

T(K)=273+42=315KT(K) = 273+42=315K


P=nRTV=6.73×8.314×31515.44×10−3=1141533Pa=1141kPa=1140kPaP=\frac{nRT}{V}=\frac{6.73\times 8.314\times 315 }{15.44\times 10^{-3}}=1141533 Pa = 1141kPa = 1140kPa (3 s.f.)


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