Answer : The specific heat of metal is
.
Explanation :
In this problem we assumed that heat given by the hot body is equal to the heat taken by the cold body.
![q_1=-q_2](https://tex.z-dn.net/?f=q_1%3D-q_2)
![m_1\times c_1\times (T_f-T_1)=-m_2\times c_2\times (T_f-T_2)](https://tex.z-dn.net/?f=m_1%5Ctimes%20c_1%5Ctimes%20%28T_f-T_1%29%3D-m_2%5Ctimes%20c_2%5Ctimes%20%28T_f-T_2%29)
where,
= specific heat of metal = ?
= specific heat of water = ![4.184J/g^oC](https://tex.z-dn.net/?f=4.184J%2Fg%5EoC)
= mass of metal = 129.00 g
= mass of water = 45.00 g
= final temperature = ![39.6^oC](https://tex.z-dn.net/?f=39.6%5EoC)
= initial temperature of metal = ![97.8^oC](https://tex.z-dn.net/?f=97.8%5EoC)
= initial temperature of water = ![20.4^oC](https://tex.z-dn.net/?f=20.4%5EoC)
Now put all the given values in the above formula, we get
![129.00g\times c_1\times (39.6-97.8)^oC=-45.00g\times 4.184J/g^oC\times (39.6-20.4)^oC](https://tex.z-dn.net/?f=129.00g%5Ctimes%20c_1%5Ctimes%20%2839.6-97.8%29%5EoC%3D-45.00g%5Ctimes%204.184J%2Fg%5EoC%5Ctimes%20%2839.6-20.4%29%5EoC)
![c_1=0.481J/g^oC](https://tex.z-dn.net/?f=c_1%3D0.481J%2Fg%5EoC)
Therefore, the specific heat of metal is
.
Answer:
0.004522 moles of hydrogen peroxide molecules are present.
Explanation:
Mass by mass percentage of hydrogen peroxide solution = w/w% = 3%
Mass of the solution , m= 5.125 g
Mass of the hydrogen peroxide = x
![w/w\% = \frac{x}{m}\times 100](https://tex.z-dn.net/?f=w%2Fw%5C%25%20%3D%20%5Cfrac%7Bx%7D%7Bm%7D%5Ctimes%20100)
![3\%=\frac{x}{5.125 g}\times 100](https://tex.z-dn.net/?f=3%5C%25%3D%5Cfrac%7Bx%7D%7B5.125%20g%7D%5Ctimes%20100)
![x=\frac{3\times 5.125 g}{100}=0.15375 g](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B3%5Ctimes%205.125%20g%7D%7B100%7D%3D0.15375%20g)
Mass of hydregn pervade in the solution = 0.15375 g
Moles of hydregn pervade in the solution :
![=\fraC{ 0.15375 g}{34 g/mol}=0.004522 mol](https://tex.z-dn.net/?f=%3D%5CfraC%7B%200.15375%20g%7D%7B34%20g%2Fmol%7D%3D0.004522%20mol)
0.004522 moles of hydrogen peroxide molecules are present.
Answer:
Ka = 6.02x10⁻⁶
Explanation:
The equilibrium that takes place is:
We <u>calculate [H⁺] from the pH</u>:
- [H⁺] =
![10^{-pH}](https://tex.z-dn.net/?f=10%5E%7B-pH%7D)
Keep in mind that [H⁺]=[A⁻].
As for [HA], we know the acid is 0.66% dissociated, in other words:
We <u>calculate [HA]</u>:
Finally we <u>calculate the Ka</u>:
- Ka =
= 6.02x10⁻⁶
Answer:
The current temperature is -15° (15° below zero)
Explanation:
The temperature drops 10°:
T-10°
It will reach 25° below zero:
T - 10° = -25°
We add 10° in both members of the equation:
T - 10° +10° = -25° +10°
The equation is simplified as follows:
T = -25° +10°
T = -15°
The integer -15° can be expressed as 15° below zero.