An ideal gas A decomposes in a rigid vessel at 350 K with -d[A]/dt = 3.0x10^-3 M s^-1. Using R = 0.0821 L atm mol^-1 K^-1, find -dp_A/dt in units of 10^-2 atm s^-1 (two decimal places).

JEE Main levelNumerical answerDifficulty 2 of 3ck202

An ideal gas A decomposes in a rigid vessel at $350 K$ with $- d [A] / d t = 3.0 \times 1 0^{- 3} M s^{- 1}$ . Using $R = 0.0821 L atm mo l^{- 1} K^{- 1}$ , find $- d p_{A} / d t$ in units of $1 0^{- 2} atm s^{- 1}$ (two decimal places).

Numerical answer type, answer in 1e-2 atm/s, tolerance 0.01.

For an ideal gas

p = c RT

, so at constant

T

- d p / d t = RT (- d c / d t)

. Then

- d p_{A} / d t = 0.0821 \times 350 \times 3.0 \times 1 0^{- 3} = 0.08621 atm s^{- 1} = 8.62 \times 1 0^{- 2} atm s^{- 1}