# Answer to Question #26336 in Inorganic Chemistry for sarah

Question #26336

If a sample of gas occupies 6.8 liters at 327 degrees celcius what is the volume at 27 degrees celcius if the pressure does not change?

Expert's answer

This question can be solved using the ideal gas law:

PV = nRT

P is pressure

V is volume

n is amount

R is gas constant = 8.31

T is temperature

If V and T are variable, P,n,R are constants

P

P

V

V

P

V

Now it is possible to find V

V

PV = nRT

P is pressure

V is volume

n is amount

R is gas constant = 8.31

T is temperature

If V and T are variable, P,n,R are constants

P

_{1}V_{1}= nRT_{1}P

_{2}V_{2}= nRT_{2}V

_{1}/T_{1}= nR/P_{1}V

_{2}/T_{2}= nR/P_{2}P

_{1}= P_{2}V

_{1}/T_{1}= V_{2}/T_{2}Now it is possible to find V

_{2}V

_{2}= V_{1}*T_{2}/T_{1}= 6.8*(273+27)/(273+327) = 3.4 L
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