Answer:
![\Delta H_rxn=-55.8\frac{kJ}{mol KOH}](https://tex.z-dn.net/?f=%5CDelta%20H_rxn%3D-55.8%5Cfrac%7BkJ%7D%7Bmol%20KOH%7D)
![\Delta H_rxn=-111.6\frac{kJ}{mol H2SO4}](https://tex.z-dn.net/?f=%5CDelta%20H_rxn%3D-111.6%5Cfrac%7BkJ%7D%7Bmol%20H2SO4%7D)
Explanation:
The reaction:
Total volume: V=50 mL
The heat generated:
![Q=Cp_{water}*\Delta T*V*\delta_{water}](https://tex.z-dn.net/?f=Q%3DCp_%7Bwater%7D%2A%5CDelta%20T%2AV%2A%5Cdelta_%7Bwater%7D)
![Q=4.184 \frac{J}{g*C}*(30.17 C -23.5 C)*50 mL*\frac{1 g}{mL}}](https://tex.z-dn.net/?f=Q%3D4.184%20%5Cfrac%7BJ%7D%7Bg%2AC%7D%2A%2830.17%20C%20-23.5%20C%29%2A50%20mL%2A%5Cfrac%7B1%20g%7D%7BmL%7D%7D)
![Q=1395.4 J](https://tex.z-dn.net/?f=Q%3D1395.4%20J)
Moles of KOH: ![n_K=\frac{1 mol}{1000 mL}*25 mL=0.025 mol](https://tex.z-dn.net/?f=n_K%3D%5Cfrac%7B1%20mol%7D%7B1000%20mL%7D%2A25%20mL%3D0.025%20mol)
Moles of H2SO4: ![n_S=\frac{0.5 mol}{1000 mL}*25 mL=0.0125 mol](https://tex.z-dn.net/?f=n_S%3D%5Cfrac%7B0.5%20mol%7D%7B1000%20mL%7D%2A25%20mL%3D0.0125%20mol)
Heat of reaction:
![\Delta H_{rxn}=\frac{-1395.4 J}{0.025 mol KOH}*\frac{1 kJ}{1000 J}](https://tex.z-dn.net/?f=%5CDelta%20H_%7Brxn%7D%3D%5Cfrac%7B-1395.4%20J%7D%7B0.025%20mol%20KOH%7D%2A%5Cfrac%7B1%20kJ%7D%7B1000%20J%7D)
![\Delta H_{rxn}=-55.8\frac{kJ}{mol KOH}](https://tex.z-dn.net/?f=%5CDelta%20H_%7Brxn%7D%3D-55.8%5Cfrac%7BkJ%7D%7Bmol%20KOH%7D)
![\Delta H_{rxn}=\frac{-1395.4 J}{0.0125 mol H2SO4}*\frac{1 kJ}{1000 J}](https://tex.z-dn.net/?f=%5CDelta%20H_%7Brxn%7D%3D%5Cfrac%7B-1395.4%20J%7D%7B0.0125%20mol%20H2SO4%7D%2A%5Cfrac%7B1%20kJ%7D%7B1000%20J%7D)
![\Delta H_{rxn}=-111.6\frac{kJ}{mol H2SO4}](https://tex.z-dn.net/?f=%5CDelta%20H_%7Brxn%7D%3D-111.6%5Cfrac%7BkJ%7D%7Bmol%20H2SO4%7D)
Note: the negative sign is beacuse it is an exothermical reaction.
Answer: ![\frac{V_1}{V_2}=\frac{n_1}{n_2}](https://tex.z-dn.net/?f=%5Cfrac%7BV_1%7D%7BV_2%7D%3D%5Cfrac%7Bn_1%7D%7Bn_2%7D)
Explanation:
According to the Avogadro's law, the volume of gas is directly proportional to the number of moles of gas at same pressure and temperature. That means,
![V\propto n](https://tex.z-dn.net/?f=V%5Cpropto%20n)
or,
![\frac{V_1}{V_2}=\frac{n_1}{n_2}](https://tex.z-dn.net/?f=%5Cfrac%7BV_1%7D%7BV_2%7D%3D%5Cfrac%7Bn_1%7D%7Bn_2%7D)
where,
= initial volume of gas
= final volume of gas
= initial moles of gas
= final moles of gas
Answer:
An object could be traveling at a constant speed, but change directions
Explanation:
Hope that helps
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