The temperature of a gas is raised from 10 to 20 degree celsius. will the volume double the pressure if mass and pressure do not change? why or why not? show calculations

There will be No change in volume.  

Explanation:

Ideal Gas Equation is used to solve this :

PV=nRT;

P is pressure in Pa,

V is volume in ,

n is number of moles of gas;

R is the universal gas constant, 8.31 J/K mol

T is temperature in Kelvin

when mass is said to be fixed, the number of moles will also  be fixed, too. So  combining  both the constant term n and R which gives

PV=kT

where k is  constant.

V=  

So the equation represents that,  Volume V will remains unchanged  when  pressure and  temperature  are both doubled, therefore the numerator term T and the denominator term P are both  gets affected by multiplication of 2, hence by cancellations:

V =   = 

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