Difference in Specific Heat Capacity of 1g He at STP

Introduction:
The specific heat capacity of a substance is the amount of heat energy required to raise the temperature of one gram of the substance by one degree Celsius. In this case, we will calculate the difference between the principal specific heat capacity of 1g of Helium (He) at standard temperature and pressure (STP).

Calculating the Specific Heat Capacity:
To calculate the specific heat capacity, we need to use the formula:

q = mcΔT

where:
q is the heat energy absorbed or released,
m is the mass of the substance,
c is the specific heat capacity of the substance, and
ΔT is the change in temperature.

Calculating the Principal Specific Heat Capacity of He:
The principal specific heat capacity of a gas at constant volume (Cv) is given by the equation:

Cv = R / M

where:
R is the molar gas constant (8.13 J/K mol),
M is the molar mass of the gas (4 g/mol for He).

Using this equation, we can calculate the principal specific heat capacity of Helium at STP.

Cv = R / M
Cv = 8.13 J/K mol / 4 g/mol
Cv = 2.0325 J/g K

Therefore, the principal specific heat capacity of 1g of Helium at STP is 2.0325 J/g K.

Calculating the Difference:
To calculate the difference in specific heat capacity, we need to compare the principal specific heat capacity of 1g of Helium with another specific heat capacity value.

Example:
Let's say we want to calculate the difference between the principal specific heat capacity of 1g He and the specific heat capacity of water (c = 4.186 J/g °C).

Difference = Principal Specific Heat Capacity of 1g He - Specific Heat Capacity of Water
Difference = 2.0325 J/g K - 4.186 J/g °C

To compare these values, we need to convert the units of the specific heat capacity of water from J/g °C to J/g K.

1 °C = 1 K, so the conversion factor is 1.

Difference = 2.0325 J/g K - 4.186 J/g K
Difference = -2.1535 J/g K

Therefore, the difference in specific heat capacity between 1g of Helium at STP and water is -2.1535 J/g K.

Conclusion:
In conclusion, the difference between the principal specific heat capacity of 1g of Helium at STP and another substance can be calculated by subtracting the specific heat capacity values. The specific heat capacity values are calculated using the formula q = mcΔT, where q is the heat energy absorbed or released, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature.