A 2.0-mol sample of an ideal gas occupies 10.0 L at a certain instant when its…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

A 2.0-mol sample of an ideal gas occupies 10.0 L at a certain instant when its temperature is 300 K. The volume remains fixed while the temperature is increasing at a rate of 4.0 K·min−1^{-1}. Using R=0.0821 R = 0.0821\,L·atm·mol−1^{-1}·K−1^{-1}, what is the instantaneous rate of change of the gas’s pressure at that instant? (a) 0.33  atm⋅min−10.33\;\text{atm}\cdot\text{min}^{-1} (b) 0.066  atm⋅min−10.066\;\text{atm}\cdot\text{min}^{-1} (c) 0.016  atm⋅min−10.016\;\text{atm}\cdot\text{min}^{-1} (d) 0.033  atm⋅min−10.033\;\text{atm}\cdot\text{min}^{-1}

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