Physics

Problem

A balloon contains

n = 1.0\,

mol of an ideal gas at

P = 1.0\,

atm and

T = 300\,

K when its volume is

V = 24.6\,

L. Gas is being added at a rate of

dn/dt = 0.020\,

mol·s

^{-1}

, and the balloon is expanding so that

dV/dt = 0.25\,

L·s

^{-1}

. If the pressure is maintained at 1.0 atm, which of the following is the closest approximation to the required instantaneous rate of change of temperature

dT/dt

at that moment? (Use

R = 0.0821\,

L·atm·mol

^{-1}

·K

^{-1}

.) a)

9.0\,\text{K\,s}^{-1}

-6.0\,\text{K\,s}^{-1}

-3.0\,\text{K\,s}^{-1}

\phantom{-}3.0\,\text{K\,s}^{-1}

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