please can someone help me with these questions?

24) Which represents the largest pressure?
A) five mm Hg
B) one atmosphere
C) one millimeter of mercury
D) one hundred pascals
E) five pounds per square inch

25) What would be the new pressure if a 400 mL gas sample at 380 mm Hg is expanded to 800 mL
with no change in temperature?
A) 760 mm Hg
B) 950 mm Hg
C) 190 mm Hg
D) 380 mm Hg
E) 570 mm Hg

26) A sealed container with gas at 2.00 atm is heated from 20.0 K to 40.0 K. The new pressure is
A) 1.00 atm.
B) 1.87 atm.
C) 2.14 atm.
D) 0.500 atm.
E) 4.00 atm.

For the first one, convert everything to mm Hg.

For the other two, (P1V1)/T1 = (P2V2)/T2

Sure, I'd be happy to help you with these questions!

24) To determine which option represents the largest pressure, we need to compare the given pressure units. Here are the conversions for the units mentioned:

1 atmosphere (atm) = 760 mm Hg
1 mm Hg = 1 torr = 133.3 pascals (Pa)
1 pound per square inch (psi) ≈ 51.715 mm Hg

Considering these conversions, we can compare the options:

A) 5 mm Hg = 5/760 atm ≈ 0.0066 atm
B) 1 atmosphere = 1 atm
C) 1 mm Hg = 1/760 atm ≈ 0.0013 atm
D) 100 pascals = 100/133.3 torr ≈ 0.7512 torr ≈ 0.00099 atm
E) 5 pounds per square inch ≈ 259.1 mm Hg ≈ 259.1/760 atm ≈ 0.341 atm

Comparing the results, we can see that option E) represents the largest pressure at approximately 0.341 atm.

25) To determine the new pressure when a gas sample is expanded, we can use Boyle's Law, which states that for a given amount of gas at constant temperature, the pressure and volume are inversely proportional.

Boyle's Law can be expressed as: P1 * V1 = P2 * V2

Where:
P1 = initial pressure
V1 = initial volume
P2 = final pressure
V2 = final volume

In the given scenario:
P1 = 380 mm Hg
V1 = 400 mL
V2 = 800 mL
P2 = ?

Using the formula and plugging in the values:
P1 * V1 = P2 * V2
380 mm Hg * 400 mL = P2 * 800 mL

Now, we can solve for P2:
P2 = (380 mm Hg * 400 mL) / 800 mL

P2 = 190 mm Hg

Therefore, the new pressure after the expansion is 190 mm Hg.

26) To determine the new pressure when a gas is heated at constant volume, we can use the combined gas law, which takes into account both temperature and pressure changes.

The combined gas law can be expressed as: P1 * V1 / T1 = P2 * V2 / T2

Where:
P1 = initial pressure
V1 = initial volume
T1 = initial temperature
P2 = final pressure
V2 = final volume
T2 = final temperature

In the given scenario:
P1 = 2.00 atm
V1 = unknown (but it is not relevant in this case)
T1 = 20.0 K
T2 = 40.0 K
P2 = ?

Using the formula and plugging in the values:
P1 * V1 / T1 = P2 * V2 / T2
2.00 atm * (V1 not relevant) / 20.0 K = P2 * (V2 not relevant) / 40.0 K

Simplifying the equation:
2.00 / 20.0 = P2 / 40.0

P2 = (2.00 / 20.0) * 40.0

P2 = 1.00 atm

Therefore, the new pressure after heating the gas is 1.00 atm.