what will be the volume of 15g of oxygen at 25 degree celcius and 650 mm of hg pressure

 what will be the volume of 15g of oxygen at 25 degree celcius and 650 mm of hg pressure

answer=

To find the volume of a gas, you can use the ideal gas law equation:

$𝑃𝑉=𝑛𝑅𝑇$

Where:

• $𝑃$ is the pressure of the gas (in atm or Pa)
• $𝑉$ is the volume of the gas (in liters)
• $𝑛$ is the number of moles of the gas
• $𝑅$ is the ideal gas constant ($0.0821$ atm L / (mol K) or $8.314$ Pa m³ / (mol K))
• $𝑇$ is the temperature (in Kelvin)

First, let's convert the given values to the appropriate units:

• Pressure: $650$ mmHg $=\frac{650}{760}$ atm (since $1$ atm = $760$ mmHg)
• Temperature: $25$ degrees Celsius $=25+273.15$ Kelvin

Given that the gas is oxygen (${𝑂}_2$), we need to determine the number of moles ($𝑛$) using the molar mass of oxygen ($32$ g/mol).

$𝑛=\frac{15\text{ g}}{32\text{ g/mol}}$

Now, we can plug these values into the ideal gas law equation to find the volume ($𝑉$):

$𝑉=\frac{𝑛𝑅𝑇}{𝑃}$

Let's calculate:

$𝑉=\frac{(15\mathrm{/}32)\times (0.0821)\times (25+273.15)}{(650\mathrm{/}760)}$

$𝑉\approx \frac{(0.46875)\times (298.15)\times (760)}{650}$

$𝑉\approx \frac{(140.041)\times (760)}{650}$

$𝑉\approx \frac{106345.76}{650}$

$𝑉\approx 163.614\text{ liters}$

So, the volume of $15$ g of oxygen at $25$ degrees Celsius and $650$ mmHg pressure is approximately $163.614$ liters.