Question

On the sunlit surface of Venus, the atmospheric pressure is 9.0 106 Pa, and the temperature is 740 K. On the earth's surface the atmospheric pressure is 1.0 105 Pa, while the surface temperature can reach 320 K. These data imply that Venus has a "thicker" atmosphere at its surface than does the earth, which means that the number of molecules per unit volume (N/V) is greater on the surface of Venus than on the earth. Find the ratio (N/V)Venus / (N/V)Earth.

Answer 1

Answer:

(1) Venus    $\frac{n}{v} = 1.464494797*10^-3$

(2) Earth $\frac{n}{v} = 3.797975698*10^-4$

Explanation:

Ideal Gas Equation which relates these quantities of thermodynamics is.

$PV=NRT$  where P is pressure, V is volume , N is number of molecules, R is ideal Gas Constant and has value of 8.3144621J/Mol*K.

Rearranging the above equation, by first solving for N in terms of P, V, R and T and then dividing by V gives us.

$\frac{N}{V} =\frac{P}{RT}$

Now it is only matter of Plugging in numbers so for Venus planet we can plug in P = 9.0106Pa, T = 740K R is constant in every situation = 8.3144621J/mol K. and get (1) and similarly for Earth we will plug in P = 1.0105Pa , T = 320K and same R, and will get (2).

Answer 2

Answer:

the ratio (N/V)Venus / (N/V)Earth = 39 : 1

Explanation:

Detailed explanation and calculation is shown in the image below