The volume of 4.0 cubic meters of gas is kept under constant pressure. Its temperature is increased from a minus 73 degrees Celsius to 127 degrees Celsius. What is the new volume of the gas?

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Answer 1 · 2016-02-18T15:01:06

We follow Charles' law: for a given quantity of gas, at CONSTANT pressure, #V# #prop# #T#. #T# is specified to be absolute temperature.

Since #V# #prop# #T#, #V# #=# #kT#. Alternatively, (if we solve for #k#),

#k=V_1/T_1=V_2/T_2#.

So, #V_2=(V_1xxT_2)/T_1# #=# #(4.0*m^3xx400*cancelK)/(200*cancelK)# #=# #??*m^3#.