the volume of gas at 27°c is 30ml what is the volume of gas at 37 degree celsius in constant pressure
Answers
Answer:-
Given:
Initial Volume (V₁) = 30 ml
Initial Temperature (T₁) = 27° C = 27° + 273° = 300° K
Final temperature (T₂) = 37° C = 273 + 37 = 310° K
Let the final volume be V₂.
We know that,
Charle's law of gases states that at constant pressure the volume of a gas is directly proportional to the temperature.
V ∝ T
⟶ V = kT (k is Constant)
⟶ V₁ / T₁ = V₂ / T₂
Putting the values we get,
⟶ 30/300 = V₂ / 310
⟶ (30)(310) = (300)(V₂)
⟶ (30)(310) / 300 = V₂
⟶ 31 = V₂
∴ The volume of the gas increases to 31 ml.
Explanation:
Given :
- the volume of gas at 27°c is 30ml
To Find :
- what is the volume of gas at 37 degree celsius in constant pressure
Solution :
Concept :
- To calculate the final volume of the system, we use the equation given by Charles' Law. This law states that volume of the gas is directly proportional to the temperature of the gas at constant pressure.
Mathematically,
V₁ / T₁ = V₂ / T₂
where, V₁ and V₂ are the initial volume and temperature of the gas.
V₁ and T₂ are the final volume and temperature of the gas.
We are given:
V₁ = 30
T₁ = 27°C = ( 27 + 273 ) = 300K
V₂ = 37° C = ( 37 + 273 )K = 310°K
- A law stating that the volume of an ideal gas at constant pressure is directly proportional to the absolute temperature..
Putting values in above equation, we get:
30 / 300K = V₂ / 310
V₂ = ( 310 × 30 ) / 300
V₂ = 310 / 10
V₂ = 31
More to know :
- Volume of gas is the quantity of three : dimensional space occupied by a liquid, solid, or gas. Common units used to express volumes include liters, cubic meters, gallons, milliliters, teaspoons and ounces.