If you set a function equal to zero and solve for x, then you are finding where the function crosses the x-axis.
The question doesn't make sense, because any nonzero number raised to the zero (0) power (exponent) will always equal one (1).
370 = 1 ======any number to the power of zero will equal 1
The antiderivative of a function which is equal to 0 everywhere is a function equal to 0 everywhere.
Not sure what you mean by "zero element". If an expression is equal to zero, and you can factor it, then at least one of the factors must be zero; this is often useful to solve an equation.
If a reaction is carried out in constant temperature and constant volume no work is done and heat exchanged with surroundings is equal to the internal energy.
It is not zero so the question is based on a false assumption.
In an isochoric (constant volume) process, there is no change in volume, so the work done is zero. Therefore, all the heat added goes into increasing the internal energy of the system. The change in internal energy of the gas would be equal to the heat added, which in this case is 400 J.
In an adiabatic process, where there is no heat exchange with the surroundings, the change in internal energy is equal to the negative of the work done. This relationship is a result of the first law of thermodynamics, which states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system.
The sum of the kinetic and potential energy of all the atoms in an object is equal to the total internal energy of the object. This internal energy is a measure of the microscopic energy associated with the motion and positions of the atoms within the object. Additionally, this internal energy contributes to the overall temperature and state of the object.
Internal energy at the microscopic level and thermodynamic or mechanical energy at the macroscopic level. According to conservation of energy the sum of kinetic and potential energy is zero.
Zero is equal to zero
The change in internal energy is equal to the energy added minus the work done by the system. In this case, the change in internal energy is 35 J - 15 J = 20 J.
The change in internal energy of a system that does 100 joules of work depends on the heat exchange as well. In general, the change in internal energy is equal to the amount of heat added to the system minus the work done by the system.
The molar internal energy change can be calculated using the equation: ΔU = ΔH - PΔV, where PΔV is the work done during the phase change. For vaporization, at constant pressure, the work done is approximately zero, so the molar internal energy change is approximately equal to the molar enthalpy of vaporization. Therefore, the molar internal energy change in this case is 30.8 kJ mol-1.
Yes, absolute zero is equal to 0 Kelvin. It is the lowest possible temperature where particles have minimal energy and all motion ceases.
In an isothermal process, the temperature of the system remains constant. Since work done is the result of a change in energy, and the temperature does not change, there is no transfer of energy in the form of work during an isothermal process. Thus, the work done in an isothermal system is zero.