The temperature of a 4.5-liter helium gas is raised to 80oC. The volume increased to 9.0 liters. What is the initial temperature of the gas in oC?

Initial temperature = T₁ = -96.65 °C

Explanation:

Given data:

Initial volume = 4.5 L

Final temperature = 80°C (80+273 = 353 K)

Final volume = 9.0 L

Initial temperature = ?

Solution:

According to  Charles law, The volume of given amount of a gas is directly proportional to its temperature at constant number of moles and pressure.

Mathematical expression:

V₁/T₁ = V₂/T₂

V₁ = Initial volume

T₁ = Initial temperature

V₂ = Final volume  

T₂ = Final temperature

Now we will put the values in formula.

V₁/T₁ = V₂/T₂

T₁  = V₁ T₂/V₂

T₁  = 4.5 L × 353 K / 9.0 L

T₁  = 1588.5 L.K / 9.0 L

T₁  = 176.5 K

Kelvin to °C:

176.5 K - 273.15 = -96.65 °C

conduction is the transfer of thermal energy (heat in transfer) due to collisions between the molecules in the object. collisions between adjacent atoms and molecules transfer kinetic energy from the warmer to the cooler object. the objects must be in physical contact.

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