## Question

## A gas at fixed temperature is kept in a closed vessel. Some more amount of the same gas is added to the vessel without altering the temperature. What will be the change in pressure?

## Solution

For n moles of a gas the equation of state is given by, PV = n RT.
If m and M be the mass and molecular weight of the gas, then n = m/M and the equation of statereduces to PV =m/MRT M or, P =mRT/MV
At a fixed temperature (T = constant) if more amount of gas is added to a closed vessel (V = constant), then mass (m) of the gas increases. From the equation, it is evident that pressure of the gas increases.

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