The volume V of a gas varies directly as the temperature T . If when , find V when T is 240.
A) V is 9 when T is 240.
B) V is 7 when T is 240.
C) V is 6 when T is 240.
D) V is 4 when T is 240.
E) V is 8 when T is 240.

Question

The volume V of a gas varies directly as the temperature T . If  when  , find V when T is 240.
A) V is 9 when T is 240. 
B) V is 7 when T is 240. 
C) V is 6 when T is 240. 
D) V is 4 when T is 240. 
E) V is 8 when T is 240.

Quizplus · Accepted Answer

Since V varies directly with T, we can write V=kT, where k is a constant of proportionality. We can solve for k by using the given values:

11ec1544_37f4_4f14_8a2d_038a20170ade_TBX8671_11=k(11ec1544_37f4_7625_8a2d_0b6d9ccc0566_TBX8671_11)

Simplifying, we get:

k=11ec1544_37f4_4f14_8a2d_038a20170ade_TBX8671_11/11ec1544_37f4_7625_8a2d_0b6d9ccc0566_TBX8671_11

k=6

So the equation relating V and T is:

V=6T

When T is 240, we can substitute to find:

V=6(240)=1440

Therefore, the answer is C, V is 6 when T is 240.

The Volume V of a Gas Varies Directly as the Temperature