hce_kmu
113年
物理及化學
第 50 題
When a fixed pressure of one atmosphere is maintained, an ideal gas receives 25 J of energy in the form of heat. During this process, the gas's volume expands from $20\text{ cm}^3$ to $40\text{ cm}^3$. What is the molar specific heat of this ideal gas?
(The universal gas constant $R = 8.31\text{ J/mol}\cdot\text{K}$, $1\text{ atm} = 1.01 \times 10^5\text{ Pa}$)
(The universal gas constant $R = 8.31\text{ J/mol}\cdot\text{K}$, $1\text{ atm} = 1.01 \times 10^5\text{ Pa}$)
- A $80\text{ J/mol}\cdot\text{K}$
- B $85\text{ J/mol}\cdot\text{K}$
- C $90\text{ J/mol}\cdot\text{K}$
- D $95\text{ J/mol}\cdot\text{K}$
- E $100\text{ J/mol}\cdot\text{K}$
思路引導 VIP
想像一下，如果你知道氣體吸收了多少熱能，也算出了它對外推開活塞花了多少能量，剩下的能量去哪了？接著，試著思考理想氣體方程式 $PV = nRT$，當壓力固定時，體積的變化（$\Delta V$）與溫度的變化（$n\Delta T$）之間存在什麼樣的比例關係？