A certain volume of gas at 298k is heated s..

Question 1 Report

A certain volume of gas at 298k is heated such that its volume and pressure are now four times the original values. What is the new temperature?

18.6k

100.0k

298.0k

1192.0k

4768.0k

Answer Details

$\frac{P_{1} V_{1}}{T_{1}} = \frac{4 P_{1} \times 4 V_{1}}{T_{2}}$

i.e $\frac{P_{1} V_{1}}{298} = \frac{4 P_{1} \times 4 V_{1}}{T_{2}}$

T2 = $\frac{298 \times 4 P_{1} \times 4 V_{1}}{P_{1} V_{1}}$

= 298 + 16 = 4768.0k