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Sagot :
Answer;
New Pressure of Gas = 7.33 kPa
Explanation:
Given the initial and final volume occupied by a sample of a gas at constant temperature, we want to get the final pressure of the gas given the initial pressure value
To answer this, we look for the gas law that links voume and pressure at constant temperature
The gas law here is Boyle's law
It states that volume and pressure are inversely proportional. So we would expect a volume decrease where there is a pressure increase and vice versa
Mathematically, we have this as:
[tex]P_iV_i=P_fV_f[/tex]where i represents the initial values and f represents the final values
What we are looking for is the final pressure so, we rewrite the formula above as follows:
[tex]P_f\text{ = }\frac{P_iV_i}{V_f}[/tex]Lastly, we go on to substitute the given values
Let us have a look at the volume units
It must be understood that we should have same unit
Since 1000 mL = 1L
Then 336.33 mL = 0.33633 L
Finally, we substitute as follows:
[tex]P_f\text{ = }\frac{25.72\times0.33633}{1.18}\text{ = 7.33 kPa}[/tex]
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