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Question

Question: The equation of state for 5 g of oxygen at a pressure P and temperature T, when occupying a volume V...

The equation of state for 5 g of oxygen at a pressure P and temperature T, when occupying a volume V, will be (where R is the gas constant)

A

PV = (5/32) RT

B

PV = 5 RT

C

PV = (5/2) RT

D

PV = (5/16) RT

Answer

PV = (5/32) RT

Explanation

Solution

As PV = nRT

n=mmolecularmass=532PV=(532)RTn = \frac{m}{molecularmass} = \frac{5}{32} \Rightarrow PV = \left( \frac{5}{32} \right)RT