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Ideal gas pressure increases 10 times,but absolute temperature decreases 14 times.How much times does the volume of gas changes if its mass does not change?

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6 votes

Answer:

1/140 times

Step-by-step explanation:

The ideal gas law formula is stated as :

PV = nRT

where ;

P= pressure

V=volume

n=amount of substance

R=ideal gas constant

T= temperature

In this equation, both pressure and volume are directly proportional to temperature;

So if;

PV = nRT ----------------------------------i

Increasing pressure by 10 times and decreasing absolute temperature by 14 times will give;

10 PV = n*R* T/14

Making V the subject of the formula as;

14* 10 * PV = n*R*T

140 PV = n*R*T

V= n*R*T / 140 P------------------------------ii

Taking n and R to be constants then divide ii by i

T/140 P / T/P

T/140 P * P/T

1/140 times

User Manvir
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