Question

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There is a direct proportionality between volume and temperature (in Kelvin) of a gas. The volume of a sample of a gas at 277 Kelvin is 2.1883 L.

Which of the following shows a direct variation equation relating the volume V and the temperature T?

Options:

1. V= 0.0079T

2. V= 126.6T

3. T=606.2V

4. T= 0.0079V

Answer 1

Answer:

• 2.  V= 126.6T

• 4. T= 0.0079V

Explanation:

V = kT

[ where k is constant ]

277 = k(2.1883)

k = $\frac{277}{2.1883}$

k = 126.6

• Therefore: V = 126.6T

Vk = T

277k = 2.1883

k = 2.1883/277

k = $7.9 * 10^{-3}$

V * $7.9 * 10^{-3}$ = T

T = 0.0079V

• Therefore T = 0.0079V