Question

State the relevant laws which are applicable on the following observation of gas.(1) A balloon shrinks when kept in a cold place.(2) Pressure of moist gas is higher than that of dry gas.

Answer 1

Answer on Question #65574-Molecular Physics-Thermodynamics

State the relevant laws which are applicable on the following observation of gas.

(1) A balloon shrinks when kept in a cold place.

(2) Pressure of moist gas is higher than that of dry gas.

Solution

(1) The pressure $P$ inside a balloon is given by (equation of state of ideal gas)

$$P = n k T.$$

When temperature decreases, the pressure does too. So the outside atmospheric pressure will shrink the balloon.

(2) The pressure $P$ in terms of molar mass $M$ equation (equation of state of ideal gas)

$$\begin{array}{l} P V = \frac{m}{M} R T. \\ P = \frac{m}{M V} R T. \end{array}$$

Since

$$M_{\text{moist gas}} < M_{\text{dry gas}},$$

so

$$P_{\text{moist gas}} > P_{\text{dry gas}}.$$

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