at constant pressure by what fraction of its volume will aquantity of gas change if the temperature changes from -173degree C to 27degree C

The volume of the gas becomes three times the initial volume.

Explanation:

Given that the pressure is constant, and temperature changes from -173degree C to 27degree C.

So, the initial temperature, = -173 degree C = -173+273 = 100 K.

The final temperature, = 27 degree C = 27+273=300 K.

As the pressure is constant, so .

Let V_1 and V_2 be the initial and final volume respectively.

Assuming that the given gas is ideal gas.

So, applying the ideal gas equation

PV=nRT

where n is the number of moles of the gas and R is the universal gas constant.

For the initial state,

and for the final state,

Dividing the equation (i) by (ii), we have

As the mass of the gas is not changing, so , then

As the pressure is not changing, so , then

So, the volume of the gas becomes three times the initial volume.

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