Which of the following describes how further studies supported the work done by ernest rutherford? a. max planck formulated the planck’s constant b. albert einstein formulated the energy equation c. james chadwick discovered neutral particles in the nucleus d. joseph proust stated that each compound has fixed ratio of elements

1.

2. 566 K

Explanation:

1. Temperature of the ideal gas is 10°C. convert the temperature into Kelvins.

T = (10+273) = 283 K

Average kinetic energy for 1 degree of freedom is,

where, K is Boltzmann constant.

Substitute the values:

2.

Average kinetic energy is twice.

          T ’’ = 293º C

Explanation:

Here we must equal the kinetic energy with the thermal energy of the Boltzmann equation

       E = K

       E = k T

Where k is the Boltzmann constant and T the absolute temperature

   

       K = k T

T ’= 10ºC, the equation to move to Kelvin degrees is

      T = (T ’+273) [K]

Let's use the first data

     K10 = k T1

We write the second data

    2 (K10) = k T2

 

Let's divide the two equations

    2 (K10) / (K10) = k T2 / k T1

    2 = T2 / T1

    T2 = 2 T1

Now let's write this value in degrees Celsius

     (T ’’ + 273) = 2 (T ’+ 273)

     T ’’ = 2T ’+ 2 273 -273

     T ’’ = 2 T ’+ 273

     T ’’ = 2 10 + 273

     T ’’ = 293º C

This is the temperature to double the kinetic energy

1)

2)

Explanation:

1)

The average kinetic energy of the molecules of an ideal gas is directly related to the Kelvin temperature of the gas, by the formula

where

KE is the kinetic energy

k is the Boltzmann constant

T is the Kelvin temperature

We can say  therefore that the average kinetic energy of the particles is directly proportional to the absolute temperature of the gas; so, we can write:

And therefore

(1)

In this problem, we have:

is the initial kinetic energy of the molecules when the temperature of the gas is

Here we want to find the temperature at which the average kinetic energy of the particles is

So, twice the initial value. Substituting into eq.(1) and solving for T2, we find:

Converting into Celsius degrees,

2)

The root-mean-square (rms) speed of the molecules in a gas is given by the equation

where

k is the Boltzmann constant

T is the Kelvin temperature of the gas

m is the mass of each molecule

Therefore, from the equation we can say that the rms speed is proportional to the square root of the temperature:

So we can write:

(2)

where in this problem:

is the rms speed of the molecules when the temperature is

is the final rms speed of the molecules

Solving eq.(2), we find the temperature at which the rms speed is twice the initial value:

Converting into Celsius degrees,

Begin by dividing both sides by m

                   Take the square root of both sides.

           Evaluate  the right

Explanation:

Find the wattage on the appliance label.Multiply wattage by hours used each day.Divide the result by 1,000.Multiply your answer by the number of days you're measuring.Multiply by the cost of electricity per kWh.

i)  8.82 * 10^15 J

ii) 1.8 * 10^23 watts

iii) 1.102 * 10^9 number of cups

iv) 2.450 * 10^6  number of months

Explanation:

i)Total possible energy released

Mtotal = x + x

          = 2x * 10 ^-3 kg

when we apply the famous Einstein's formula for mass-energy equivalence

E = Mtotal * c^2

c = speed of light in free space = 3 * 10^8 m/s^-1

x = 49 g

therefore the Total energy released

E = ( 2 * 49 * 10^-3 ) * ( 3* 10^8 ) ^2  =  8.82 * 10^15 J

ii) power output

x in ns = 49 * 10^-9 s

therefore energy released per sec = Total energy released / 49 * 10^-9

= (8.82 * 10^15 ) / ( 49 * 10^-9 ) = 1.8 * 10^23 J

hence power output = 1.8 * 10^23 J  * s^-1  = 1.8 * 10^23 watts

iii) Calculate the number of cups

Total energy obtained in a cup  = 8 MJ = 8* 10^6 J

number of cups required to match of the Total energy released

n = Total energy released / energy obtained in a cup

  = ( 8.82 * 10^15 ) / ( 8 * 10^6 ) = 1.102 * 10^9 number of cups

iv) Calculate the number of months

n = Total energy released / energy obtained in a month

  = (8.82 * 10^15 ) / ( 3.6 * 10^9) = 2.450 * 10^6  number of months

I'm not sure what the question is, but that is a true statement