Mathematics

Mathematics

Problem

In a sealed vessel of fixed volume, the pressure PP (in kPa) of a gas is P=8.31 TP = 8.31\,T, where the temperature TT (in K) varies with time tt (in minutes) according to T=300+4t−0.1t2T = 300 + 4t - 0.1t^{2} for 0≤t≤400\le t\le40. At what time is the pressure increasing at 2020 kPa per minute? a) 12 min12\text{ min} b) 8 min8\text{ min} c) 20 min20\text{ min} d) 16 min16\text{ min}

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