1. Convert Units
* Temperature (Celsius to Kelvin): T(K) = T(°C) + 273.15
So, 35°C = 35 + 273.15 = 308.15 K
* Volume (Liters to Cubic Meters): 1 L = 0.001 m³
So, 0.34 L = 0.34 * 0.001 m³ = 0.00034 m³
2. Use the Ideal Gas Law
The ideal gas law is: PV = nRT
where:
* P = pressure (Pa)
* V = volume (m³)
* n = number of moles
* R = ideal gas constant (8.314 J/mol·K)
* T = temperature (K)
3. Solve for Pressure
Rearrange the ideal gas law to solve for pressure:
P = (nRT) / V
4. Substitute Values
P = (0.0233 mol * 8.314 J/mol·K * 308.15 K) / 0.00034 m³
5. Calculate
P ≈ 1.76 x 10⁵ Pa
Therefore, the pressure in the balloon is approximately 1.76 x 10⁵ Pascals.