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Airida [17]
2 years ago
9

A gas at STP has a volume of 1.00 L. If the pressure is doubled and the temperature remains constant, what is the news of the ga

s?
Chemistry
1 answer:
4vir4ik [10]2 years ago
3 0

Answer: PV = nRT

A gas at STP... This means that the temperature is 0°C and pressure is 1 atm.

R is the gas constant which is 0.08206 L*atm/(K*mol)

Rearranging for volume

V = nRT/P

The temperature and number of moles are held constant. This means that this uses Boyle's Law. (The ideal gas law could be manipulated to give us this result when T and n are held constant.)

PV = k

where k is a constant.

This means that

P₁V₁ = k = P₂V₂

P₁V₁ = P₂V₂

(1 atm) * (1 L) = (2 atm) * V₂

V₂ = 0.5 L

The new volume of the gas is 0.5 L.

Explanation:

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\quad \huge \quad \quad \boxed{ \tt \:Answer }

\qquad \tt \rightarrow \:mass = 11.42 \:\: grams

____________________________________

\large \tt Solution  \: :

\qquad \tt \rightarrow \: Q = ms\Delta T

  • \textsf{Q = heat evolved/absorbed = 501 J}

  • \textsf{m = mass in gram = ?}

  • \textsf{s = specific heat = 0.45}

  • \textsf{ΔT = change in temp = 120 - 22.5 =97.5°C}

\large\textsf{Find m : }

\qquad \tt \rightarrow \: 501 = m \sdot(0.45) \sdot(97.5)

\qquad \tt \rightarrow \:  501 = m \sdot43.875

\qquad \tt \rightarrow \: m =  \dfrac{501}{43.875}

\qquad \tt \rightarrow \: m  \approx11.42 \:  \: g

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