Answer :

Answer:

Neon

Explanation:

Step 1: Given and required data

  • Density of the gas (ρ): 1.57 g/L
  • Temperature (T): 40.0°C
  • Pressure (P): 2.00 atm
  • Ideal gas constant (R): 0.08206 atm.L/mol.K

Step 2: Convert T to Kelvin

We will use the following expression.

K = °C + 273.15 = 40.0 + 273.15 = 313.2 K

Step 3: Calculate the molar mass of the gas (M)

For an ideal gas, we will use the following expression.

ρ = P × M/R × T

M = ρ × R × T/P

M = 1.57 g/L × 0.08206 atm.L/mol.K × 313.2 K/2.00 atm

M = 20.17 g/mol

The gas with a molar mass of 20.17 g/mol is Neon.

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Rewritten by : Barada

In Chemistry, the gas with a molar mass of 20.18 g/mol is neon (Ne) and this is the identity of the gas.

Given the following data:

  • Density of gas = 1.57 g/L
  • Temperature = 40.0°C
  • Pressure = 2.00 atm

Scientific data:

  • Ideal gas constant, R = 0.0821 L⋅atm/mol⋅K

Conversion:

Temperature = 40.0°C to K = [tex]273 +40=313\;K[/tex]

To determine the identity of this gas, we would apply the ideal gas law equation;

[tex]MM = \frac{R\rho T}{P}[/tex]

Where;

  • P is the pressure.
  • MM is the molar mass of a gas.
  • R is the ideal gas constant.
  • T is the temperature.
  • [tex]\rho[/tex] is the density of a gas.

Substituting the given parameters into the formula, we have;

[tex]MM=\frac{0.0821 \times 1.57 \times 313}{2} \\\\MM=\frac{40.35}{2}[/tex]

Molar mass = 20.18 g/mol.

In Chemistry, the gas with a molar mass of 20.18 g/mol is neon (Ne).

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