Question

If the temperature of an ideal gas is raised from 100◦C to 200◦C, while the pressure remains constant, the volume 1. increases by a factor of 100. 2. None of these 3. doubles. 4. remains the same. 5. goes to 1 2 of the original volume.

Answer 1

Answer:

3. doubles

Explanation:

for an ideal gas behavior, the relationship between volume and temperature is given by Charles law

Charles law states that the volume of a given mass of gas is directly proportional to its temperature provided that pressure remains constant. Mathematically, this is represented as

V ∝ T

V=KT

K = V/T

where V is the volume of the gas

T is the Temperature

k represents the constant of proportionality

For initial and final conditions of a gas,

$\frac{V_{1} }{T_{1} }$ = $\frac{V_{2} }{T_{2} }$

where 1 and 2 represent initial and final conditions respectively

therefore, T₁ = 100 and T₂ = 200

$\frac{V_{1} }{100}$ = $\frac{V_{2} }{200}$

200 × V₁ = 100 × V₂

divide both sides by 100

2V₁ = V₂

final volume,V₂ = 2V₁

there the volume doubles