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WAEC Physics 2010 Paper

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Question : 19

Total: 50

The pressure P, volume V, and absolute temperature T of a given mass of an ideal gas change simultaneously. Which of the followng equations is correct about the gas?

PV = $\;\frac{\text{constant}}{T}$
$\;\frac{P}{T} = \text{Constant}$
$\;\frac{P}{V} = \;\frac{\text{constant}}{T}$
$\;\frac{I}{T} = \;\frac{\text{constant}}{PV}$

Solution:

Concept:

For a fixed mass of an ideal gas, the combined gas law states that

\frac{PV}{T}

is constant.

Explanation:

The ideal gas equation is

PV = nRT

.

For a given mass of gas, the number of moles

n

is fixed, and

R

is a constant.

So we can combine the changing quantities as:

\frac{PV}{T} = \text{constant}

Rearranging this equation gives:

\frac{1}{T} = \frac{\text{constant}}{PV}

This is exactly the relation shown in option D.

Answer:

D

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