High School

What will be the pressure of 1 mole of an ideal gas maintained at 300 K and 250 cm³?

A. 98.5 atm
B. 96.7 atm
C. 95.8 atm
D. 97.1 atm

Answer :

Final answer:

The pressure of 1 mole of an ideal gas maintained at 300K and 250cm³ is approximately 98.52 atm.

Explanation:

To calculate the pressure of an ideal gas, we can use the ideal gas law equation: PV = nRT.

Given:

  • Number of moles (n) = 1 mole
  • Temperature (T) = 300K
  • Volume (V) = 250cm³

Substituting these values into the equation, we get:

P * 250cm³ = 1 mole * R * 300K

Since we are looking for the pressure (P), we can rearrange the equation:

P = (1 mole * R * 300K) / 250cm³

Now, we can calculate the pressure using the given values:

P = (1 * 0.0821 * 300) / 0.25

P = 98.52 atm

Therefore, the pressure of 1 mole of an ideal gas maintained at 300K and 250cm³ is approximately 98.52 atm.

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