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loris [4]
3 years ago
6

The temperature, T , of a given mass of gas varies inversely with its volume, V . The temperature of a certain gas with volume o

f 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
Mathematics
1 answer:
alekssr [168]3 years ago
3 0
We know that

if t<span>he temperature T of a given mass of gas varies inversely with its volume V 
</span>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
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