The pressure on an object P is proportional to the temperature and inversely proportional to the volume: 𝑃=𝑇𝑉

Question

P
=
T
V
with P measured in Pascals. In this case the temperature and the volume both depend on time, hence so the does the pressure: 𝑃(𝑡)=𝑇(𝑡)𝑉(𝑡)
P
(
t
)
=
T
(
t
)
V
(
t
)
. At time 𝑡=8
t
=
8
seconds the temperature of an object is 85𝐶
85
C
and increasing at a rate of −5𝐶𝑠
−
5
C
s
and the volume is 20𝑚3
20
m
3
and increasing at the rate −8𝑚2𝑠
−
8
m
2
s
.

Using the quotient rule, the pressure on the object is changing at the rate

Answer 1

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