Convert from standard form to scientific notation:

0.235 moles of a diatomic gas expands doing 205 J of work while the temperature drops 88 K. Find Q.? (Unit=J)

Harman [31]

The heat released by the gas is -225 J

Explanation:

First of all, we have to calculate the change in internal energy of the gas, which for a diatomic gas is given by

$\Delta U = \frac{5}{2}nR\Delta T$

where

n = 0.235 mol is the number of moles

$R=8.314\cdot J/mol K$ is the gas constant

$\Delta T = -88 K$ is the change in temperature

Substituting,

$\Delta U = \frac{5}{2}(0.235)(8.314)(-88)=-430 J$

Now we can us the 1st law of thermodynamics to find the heat absorbed/released by the gas:

$\Delta U = Q -W$

where

$\Delta U = -430 J$ is the change in internal energy

Q is the heat

W = 205 J is the heat done by the gas

Solving for Q,

$Q=\Delta U + W = -430 + 205 =-225 J$

Since the sign is negative, it means the heat has been released by the gas.

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5 0

3 years ago

Two microwave signals of nearly equal wavelengths can generate a beat frequency if both are directed onto the same microwave det

alekssr [168]

Answer:

1.5106 cm

Explanation:

The beat frequency is equal to the absolute value of the difference between the frequencies of the two signals:

$f_B = |f_1 - f_2|$

using the wave equation, we can re-write each frequency as

$f=\frac{c}{\lambda}$

where c is the speed of light and $\lambda$ is the wavelength. Therefore,

$f_B = |\frac{c}{\lambda_1}-\frac{c}{\lambda_2}|$

where:

$f_B = 140 MHz = 140\cdot 10^6 Hz$ is the beat frequency

$\lambda_1 = 1.50 cm = 0.015 m$ is the wavelength of the first generator

$\lambda_2$ is the wavelength of the second generator

We also know that the second generator emits the longer wavelength, so we already know that the term inside the module is positive. Therefore, we can now solve for $\lambda_2$ :

$f_B = c(\frac{1}{\lambda_1}-\frac{1}{\lambda_2})\\\lambda_2=(\frac{1}{\lambda_1}-\frac{f_B}{c})^{-1}=(\frac{1}{0.015}-\frac{140\cdot 10^6}{3\cdot 10^8})^{-1}=0.015106 m = 1.5106 cm$

4 0

3 years ago

In 1993, Cuban athlete Javier Sotomayor set the world record for the high jump. The gravitational potential energy associated wi

Katarina [22]

Answer:2.541

Explanation:

Well , Potential Energy = mgh

m=mass = 82

g=acceleration of gravity=9.80m/s^2

h=what we are looking for

PE=mgh

PE/(mg) = h

Substitute in the values:

1970/(82 x 9.8) = h 2.541

5 0

4 years ago

What is the motional kinetic energy of a 25 kg object moving at a speed of 10 m/s?

Soloha48 [4]

1250kgm²/s is the motional kinetic energy of a 25kg object moving at a speed of 10m/s

Kinetic energy of an object is defined as the energy which is possessed when that is in motion. It is the energy of the kinetic mass of an object. Kinetic energy is never negative and is a scalar quantity. That is, it shows only size, not orientation.

Given to us

Mass of the object, m=25kg

Velocity of the object, v=10m/s

K.E=1/2x25x10²

=1250

Kinetic energy is directly proportional to the mass and velocity squared (K.E.) of an object. =1/2xMxV². If the mass is in kilograms and the velocity is in meters/second, then the kinetic energy is in kilograms - meters squared/second.

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5 0

1 year ago

Which example shows an endothermic reaction?

Nata [24]

Answer:

reactants --> products + thermal energy

Explanation:

Heat is absorbed in endothermic reaction.

6 0

3 years ago