Question

The temperature, T , of a given mass of gas varies inversely with its volume, V . The temperature of a certain gas with volume of 105 cm 3 is 30º C. What will be the temperature of the gas when it is compressed to a volume of 84 cm 3? 18.8º C 48º C 24º C 37.5º C

Answer 1

We know that

if the temperature T of a given mass of gas varies inversely with its volume V 
then
T=k/V

Step 1
Find the value of k
for T=30º C and V=105 cm³
we have 
T=k/V--------> k=T*V--------> k=30*105=3150 °C*cm³

therefore
for V=84 cm³
T=3150/84=37.5 °C

the answer is 37.5 °C