P1V1=P2V2
(1.8)(1.5)=(1.0)V2
2.7=1.0 V2
2.7/1.0= 1.0/1.0V2
2.7=V2
Answer:
Its final temperature is 25.8 °C
Explanation:
Calorimetry is the measurement and calculation of the amounts of heat exchanged by a body or a system.
There is a direct proportional relationship between heat and temperature. The constant of proportionality depends on the substance that constitutes the body as on its mass, and is the product of the specific heat by the mass of the body. So, the equation that allows calculating heat exchanges is:
Q = c * m * ΔT
where Q is the heat exchanged by a body of mass m, made up of a specific heat substance c and where ΔT is the temperature variation (ΔT=Tfinal-Tinitial)
When a body transmits heat there is another that receives it. This is the principle of the calorimeter. Then the heat released by the compound will be equal to the heat obtained by the calorimeter.
In this case, you know:
- c= 3.55
![\frac{J}{g*C}](https://tex.z-dn.net/?f=%5Cfrac%7BJ%7D%7Bg%2AC%7D)
- m=1.20 kg= 1200 g (1 kg=1000 g)
- Tfinal= ?
- Tinitial= 22.5 °C
Replacing:
![14,000 J= 3.55 \frac{J}{g*C}*1200 g*(Tfinal-22.5C)](https://tex.z-dn.net/?f=14%2C000%20J%3D%203.55%20%5Cfrac%7BJ%7D%7Bg%2AC%7D%2A1200%20g%2A%28Tfinal-22.5C%29)
Solving:
![\frac{14,000J}{3.55\frac{J}{g*C} *1200 g} =T final - 22.5C](https://tex.z-dn.net/?f=%5Cfrac%7B14%2C000J%7D%7B3.55%5Cfrac%7BJ%7D%7Bg%2AC%7D%20%2A1200%20g%7D%20%3DT%20final%20-%2022.5C)
3.3=Tfinal - 22.5 C
3.3 + 22.5=Tfinal
Tfinal= 25.8 °C
<u><em>Its final temperature is 25.8 °C</em></u>
Answer:
![C_2H_6O](https://tex.z-dn.net/?f=C_2H_6O)
Explanation:
The first step is the <u>calculation of the moles</u> of
and
, so:
![114.6~g~CO_2\frac{1~mol~CO_2}{44~g~CO_2}=2.6~mol~of~CO_2](https://tex.z-dn.net/?f=114.6~g~CO_2%5Cfrac%7B1~mol~CO_2%7D%7B44~g~CO_2%7D%3D2.6~mol~of~CO_2)
![70.44~g~H_2O\frac{1~mol~H_2O}{18~g~H_2O}=~3.9~mol~H_2O](https://tex.z-dn.net/?f=70.44~g~H_2O%5Cfrac%7B1~mol~H_2O%7D%7B18~g~H_2O%7D%3D~3.9~mol~H_2O)
Now, in 1 mol of CO2 we have 1 mol of C and in 1 mol of
we have 1 mol of H. Additionally, if we want to calculate the moles of oxygen we need to <u>calculate the grams of C and O</u> and then do the <u>substraction</u> form the initial amount, so:
![Total~grams=~31.25~+~7.82=39.08~g](https://tex.z-dn.net/?f=Total~grams%3D~31.25~%2B~7.82%3D39.08~g)
![grams~of~O=60.00~g-~39.08~g=20.92~g~of~O](https://tex.z-dn.net/?f=grams~of~O%3D60.00~g-~39.08~g%3D20.92~g~of~O)
Now we can <u>convert the grams</u> of O to moles, so:
![20.92~g~of~O\frac{1~mol~O}{16~g~O}=1.30~mol~O](https://tex.z-dn.net/?f=20.92~g~of~O%5Cfrac%7B1~mol~O%7D%7B16~g~O%7D%3D1.30~mol~O)
The next step is to divide all the mol values by the <u>smallest one</u>:
![O=\frac{1.30~mol~O}{1.30~mol~O}=~1](https://tex.z-dn.net/?f=O%3D%5Cfrac%7B1.30~mol~O%7D%7B1.30~mol~O%7D%3D~1)
![C=\frac{2.6~mol~C}{1.30~mol~O}=~2](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B2.6~mol~C%7D%7B1.30~mol~O%7D%3D~2)
![H=\frac{7.82~mol~H}{1.30~mol~O}=6](https://tex.z-dn.net/?f=H%3D%5Cfrac%7B7.82~mol~H%7D%7B1.30~mol~O%7D%3D6)
Therefore the formula is ![C_2H_6O](https://tex.z-dn.net/?f=C_2H_6O)
the answer is c. Gas molecules will never collide with the walls of the container