Question

determine the kelvin temperature required for 0.0470 mol of gas to fill a balloon to 1.20 l under 0.998 atm pressure.

Explanation:

Step1: Use the ideal gas law

The ideal gas law is \(PV = nRT\), where \(P = 0.998\ \text{atm}\), \(V=1.20\ \text{L}\), \(n = 0.0470\ \text{mol}\), \(R=0.0821\ \text{L·atm/(mol·K)}\). We need to solve for \(T\).
From \(PV=nRT\), we can express \(T\) as \(T=\frac{PV}{nR}\).

Step2: Substitute the values

Substitute \(P = 0.998\ \text{atm}\), \(V = 1.20\ \text{L}\), \(n=0.0470\ \text{mol}\), and \(R = 0.0821\ \text{L·atm/(mol·K)}\) into the formula:

$$
LATEXBLOCK0
$$

Answer:

\(310\ \text{K}\)