Answer:
Temperature = 382.913 Kelvin
Step-by-step explanation:
To calculate the temperature, use the ideal gas law:-
PV = nRT
Here
- P stands for Pressure, measured in atm.
- V stands for Volume, measured in liters.
- n represents the Number of moles.
- R is the Ideal gas constant, with a value of 0.0821 L·atm/(mol·K).
- T stands for Temperature, measured in Kelvin.
The conditions defined as STP (Standard Temperature and Pressure) consist of a temperature of 273.15 Kelvin (equivalent to 0 degrees Celsius) and a pressure of 1 atmosphere.
We Have
Initial volume (V1) = 505 cm³
Final volume (V2) = 710 cm³
Initial temperature (T1) = 273.15 K (STP)
First, convert the volumes to liters:
V1 = 505 cm³ = 505/1000 L = 0.505 L
V2 = 710 cm³ = 710/1000 L = 0.710 L
Pressure and the number of moles are constant, we can write the equation as:
V1/T1 = V2/T2
Solving for T2:
T2 = (V2 * T1) / V1
T2 = (0.710 L * 273.15 K) / 0.505 L
On Solving the equation :-
T2 = 383.913 K (Approx)
Based on the weather change, the gas temperature is estimated to be around 383.913 Kelvin.