The volume (in cm ) of a gas is related to its temperature (in K) by

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

The volume

V

(in cm

^{3}

) of a gas is related to its temperature

T

(in K) by

V = 5T^{2} + 3T

. The temperature varies with time

t

(in seconds) according to

T = 2t + 273

. Calculate

\dfrac{dV}{dt}

at

t = 10\,\text{s}

.

Related theory

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