An isotope of an element has the following symbol: 131 I How many electrons does it

A 3.00-kg block of copper at 23.0°C is dropped into a large vessel of liquid nitrogen at 77.3 K. How many kilograms of nitrogen

hammer [34]

Answer:

1.2584kg of nitrogen boils.

Explanation:

Consider the energy balance for the overall process. There are not heat or work fluxes to the system, so the total energy keeps the same.

For the explanation, the 1 and 2 subscripts will mean initial and final state, and C and N2 superscripts will mean copper and nitrogen respectively; also, liq and vap will mean liquid and vapor phase respectively.

The overall energy balance for the whole system is:

$U_1=U_2$

The state 1 is just composed by two phases, the solid copper and the liquid nitrogen, so: $U_1=U_1^C+U_1^{N_2}$

The state 2 is, by the other hand, composed by three phases, solid copper, liquid nitrogen and vapor nitrogen, so:

$U_2=U_2^C+U_{2,liq}^{N_2}+U_{2,vap}^{N_2}$

So, the overall energy balance is:

$U_1^C+U_1^{N_2}=U_2^C+U_{2,liq}^{N_2}+U_{2,vap}^{N_2}$

Reorganizing,

$U_1^C-U_2^C=U_{2,liq}^{N_2}+U_{2,vap}^{N_2}-U_1^{N_2}$

The left part of the equation can be written in terms of the copper Cp because for solids and liquids Cp≅Cv. The right part of the equation is written in terms of masses and specific internal energy:

$m_C*Cp*(T_1^C-T_2^C)=m_{2,liq}^{N_2}u_{2,liq}^{N_2}+m_{2,vap}^{N_2}u_{2,vap}^{N_2}-m_1^{N_2}u_1^{N_2}$

Take in mind that, for the mass balance for nitrogen, $m_1^{N_2}=m_{2,liq}^{N_2}+m_{2,vap}^{N_2}$ ,

So, let's replace $m_1^{N_2}$ in the energy balance:

$m_C*Cp*(T_1^C-T_2^C)=m_{2,liq}^{N_2}u_{2,liq}^{N_2}+m_{2,vap}^{N_2}u_{2,vap}^{N_2}-m_{2,liq}^{N_2}u_1^{N_2}-m_{2,vap}^{N_2}u_1^{N_2}$

So, as you can see, the term $m_{2,liq}^{N_2}u_{2,liq}^{N_2}$ disappear because $u_{2,liq}^{N_2}=u_{1,liq}^{N_2}$ (The specific energy in the liquid is the same because the temperature does not change).

$m_C*Cp*(T_1^C-T_2^C)=m_{2,vap}^{N_2}u_{2,vap}^{N_2}-m_{2,vap}^{N_2}u_1^{N_2}$

$m_C*Cp*(T_1^C-T_2^C)=m_{2,vap}^{N_2}(u_{2,vap}^{N_2}-u_1^{N_2})$

The difference $(u_{2,vap}^{N_2}-u_1^{N_2})$ is the latent heat of vaporization because is the specific energy difference between the vapor and the liquid phases, so:

$m_{2,vap}^{N_2}=\frac{m_C*Cp*(T_1^C-T_2^C)}{(u_{2,vap}^{N_2}-u_1^{N_2})}$

$m_{2,vap}^{N_2}=\frac{3kg*0.092\frac{cal}{gC} *(296.15K-77.3K)}{48.0\frac{cal}{g}}\\m_{2,vap}^{N_2}=1.2584kg$

3 0

3 years ago

Who wants to be friends?

nika2105 [10]

Answer:

Meeee

Explanation:

Dis is my new account.

8 0

3 years ago

Read 2 more answers

GUYS I NEED HELP WHO EVER DOES THIS QUESTION Ill GIVE THEM brainliest PLUS 100 POTIONS

Dmitrij [34]

Answer:

4. They are a renewable resource, they reproduce. any animal and plant has some form of reproducing. A couple ways they could become nonrenewable resources are if they are exterminated through disease, habitat destruction, introduction of a harmful species.

5. Generally the discussion of overconsumption parallels that of overpopulation; that is the more people, the more consumption of raw materials to sustain their live

6. Recycling uses less energy than making a new product from scratch – even when you take account of all the related costs, like transport and wages. Mining, quarrying, logging, processing and transporting raw materials to prepare them for use in industry takes a great deal of energy.

5 0

2 years ago

What happens to the balloons volume as it rises into the atmosphere

ra1l [238]

Answer:

As balloons rise, air pressure around them diminishes. When the ballon is made of elastic material, it expands because of the excess pressure inside. Its volume increases and its internal pressure decreases

Explanation:

8 0

3 years ago

Energía hidrotermal. ¿A qué fuente de energía se refiere?

statuscvo [17]

Answer:

se refiera a la energía geotérmica es una energía renovable que se obtiene mediante el aprovechamiento del calor del interior de la Tierra que se transmite a través de los cuerpos de roca caliente o conducción y convección, donde se suscitan procesos de interacción de agua subterránea y rocas.

Explanation:

espero que te ayude esto

7 0

2 years ago