Answer:
124 mL is the volume for the new flask
Explanation:
We can apply the Ideal Gases law for both situations where the volume of Hydrogen remains constant.
The formula is P . V = n . R . T
We despise n because, as we said the moles remain constant and R, because it is a value that never changes.
(P₁ . V₁) / T₁ = (P₂ . V₂) / T₂
Let's do unit's conversion:
20°C + 273 = 293K 487.3 mmHg . 1 atm / 760mmHg = 0.641 atm
24.5°C + 273 = 297.5K 99.7 mmHg. 1 atm / 760mmHg = 0.131 atm
25mL . 1L / 1000mL = 0.025L
We replace data:
(0.641 atm . 0.025L) / 293K = (0.131 atm . V₂) / 297.5K
[(0.641 atm . 0.025L) / 293K] . 297.5K = 0.131 atm . V₂
0.0163 atm.L = 0.131 atm . V₂
V₂ = 0.0163 atm.L / 0.131 atm → 0.124L
We convert volume to mL → 0.124 L . 1000mL / 1L = 124 mL