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aivan3 [116]
2 years ago
12

Two ideal gases have the same mass density and the same absolute pressure. One of the gases is helium (He), and its temperature

is 175 K The other gas is neon (Ne). What is the temperature of the neon?
Physics
1 answer:
Oxana [17]2 years ago
4 0

Answer:

Temperature of neon gas = 875 K

Explanation:

Using Ideal gas equation as:

PV=nRT

Where,

P is the pressure of the gas

V is the volume of the gas

n is the number of moles

R is the gas constant

T is the temperature

Also,

moles=\frac{Mass(m)}{Molar\ mass (M)}

Density (\rho)=\frac{Mass(m)}{Volume(V)}

The ideal gas equation can be written as:

P=\frac{Mass(m)}{Molar\ mass (M)\times Volume(V)}\times RT

Thus,

P=\frac{Density (\rho)}{Molar\ mass (M)}\times RT

P\times M=Density (\rho)\times RT

As Density and Pressure is constant , We only consider molar mass and Temperature which are directly proportional according to the equation above as:

\frac {M_1}{T_1}=\frac {M_2}{T_2}

Data given for He:

Temperature (T₁) = 175 K

Molar mass of He (M₁)= 4 g/mol

For Ne:

Temperature (T₂)= ?

Molar mass of He (M₂)= 20 g/mol

Applying in the equation,

T_2=\frac {M_2}{T_1} \times {M_1}

T_2=\frac {20 g{mol}^{-1}}{175 K} \times {4 g{mol}^{-1}}

T_2=875 K atm

<u>Temperature of neon gas = 875 K</u>

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