Determine the final state and temperature of 100 g of water originally at 25.0°c after 50.0 kj of heat have been added to it.

1 answer:

4 0

The heat required to raise the temperature of a substance by $\Delta T$ is represented by
$Q=m C_p \Delta T$
where m stands for the mass of the substance and $C_p$ indicates the specific heat of the substance. In this situation, we possess $m=100~g=0.1~Kg$ and $C_p=4.19~KJ/(Kg K)$ , the specific heat of water.
Consequently, we can ascertain the temperature rise $\Delta T$ :
$\Delta T = \frac{Q}{m C_p}= \frac{50~KJ}{0.1~Kg cdot 4.19~KJ/(Kg K)}=119~K =119^{\circ}C$
Initially, the water's temperature was $25^{\circ}C$ , so the end temperature should be
$T_f = 25^{\circ}C+119^{\circ}C=144^{\circ}C$
Thus, the water is expected to be vapor by now.

However, to give a more accurate statement, during the liquid to vapor transition, the heat added to the system is used to break molecular bonds instead of raising the system's temperature. The heat necessary for the phase change from liquid to vapor is expressed as
$Q=m C_L=0.1~Kg \cdot 2265~KJ/Kg=226.5~KJ$
where $C_L$ denotes the latent heat of vaporization for water.
Nevertheless, the initial heat input of 50 KJ is less than this requirement, indicating there isn't sufficient heat to finish the liquid-vapor transition. Therefore, the water will remain in the liquid-vapor change phase at a temperature of $100^{\circ}C$ (the temperature at which the phase change begins)

You might be interested in

Mickey, a daredevil mouse of mass m , m, is attempting to become the world's first "mouse cannonball." He is loaded into a sprin

Ostrovityanka [3204]

The equations are h = v₀² / 2g, and h = k/4g x².

8 0

27 days ago

Read 2 more answers

A window washer on a hanging platform cleans the outside of windows on a skyscraper. The washer hoists the platform up the side

kicyunya [3294]

Answer:

The acceleration of the platform is - 1.8 m/s²

Explanation:

The net force on a body causes that body to accelerate in the direction of the resultant force applied.

Setting up the force equilibrium for the configuration:

ma = 800 - mg

100a = 800 - 100×9.8

100a = - 180

a = - 1.8 m/s²

This indicates that the body is falling downward.

6 0

1 month ago

The energy difference between the 5d and the 6s sublevels in gold accounts for its color. If this energy difference is about 2.7

Yuliya22 [3333]

The light's wavelength absorbed during the transition is 459 nm. Energy difference between the 5-d and the 6-s sub-levels in gold is expressed as ΔE. Let the wavelength associated with the electron's transition from the 5-d to the 6-s state be λ. The relationship that describes the connection between energy and wavelength is defined as: E = hc/λ, where E stands for photon energy, h represents Planck's constant, c is the speed of light, and λ denotes the wavelength of the photon. Therefore, the absorption wavelength in this transition stands at 459 nm.

8 0

1 month ago

A firecracker breaks up into two pieces, one of which has a mass of 200 g and flies off along the x-axis with a speed of 82.0 m/

Softa [3030]

O momento total, p = 21.24 kg-m/s

4 0

1 month ago

A student solving a physics problem for the range of a projectile has obtained the expression r= v20sin(2θ)g where v0=37.2meter/

ValentinkaMS [3465]

The formula for range is:

$R = \frac{v_o^2 sin2\theta}{g}$