Question

When pressure reamins constant, at what temperature will the r.m.s. speed of the gas molecules increase by 10% of the r.m.s speed at NTP?

Answer 1

$V_{rms}=\sqrt{\frac{3R{T}_1}{M}}$

$T_1=293K$

$\frac{110}{100}{V}_{rms}=\frac{11}{10}{V}_{rms}=\sqrt{\frac{3R{T}_2}{M}}$

$\sqrt{\frac{3R{T}_2}{M}}$$=\frac{11}{10}\sqrt{\frac{3R\left(293\right)}{M}}$

$\therefore T_2=\frac{121}{100}\times 293=354.53$ $K$