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Question

A gas occupies 560 cm3 at S.T.P. Find its volume when:

The pressure is 700 mm of mercury and the temperature is 27° C.


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Solution

Step-1: Analyse the given values

  • The volume occupied by the gas at STP (Standard Temperature and Pressure)= 560cm3
  • Value of temperature at STP= 273K
  • Value of pressure at STP= 760mmofHg
  • Volume to be calculated at pressure= 700mmofHg and Temperature= 27°C

Step-2: Perform the unit conversion from degree Celsius to Kelvin

Temperaturein°C+273=TemperatureinK

27+273=300K

Step-3: Use the ideal gas equation

Ideal gas equation: Ideal gas equation correlates all the variables the pressure and temperature with the volume of the gas.

Mathematically,PVT=constant

P1V1T1=P2V2T2……….(i)

where P1, V1 and T1 are the pressure, volume and temperature at STP i.e.;

V1=560cm3P1=760mmofHgT1=273K

where P2, V2 and T2 are the pressure, volume and temperature at final conditions i.e.;

V2=?P2=700mmofHgT2=300K

Step-4: Substitute the values in the ideal gas equation

Substituting the values above in the equation (i)

760×560273=700×V2300

V2=760×560×300273×700

V2=127680000191100=668.132cm3


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